Question

Solve the equation (b - d(7)(4) = -d(2)(3).) What is the value of (b)?

a) (d(4)(3))
b) (d(5)(2))
c) (d(3)(2))
d) (d(8)(5))

Answer 1

The equation to solve is (b - 28d) = -6d which simplifies to b = 22d. None of the provided options match the correct value of b, which indicates a possible error with the question or the options.

Step-by-step explanation:

The question asks to solve the equation (b - d(7)(4)) = -d(2)(3) for b. To solve for b, we must simplify and isolate b on one side of the equation.

First, we simplify the expressions with d. The equation becomes b - 28d = -6d. Next, we add 28d to both sides of the equation to isolate b, resulting in b = -6d + 28d. Simplifying further, we get b = 22d.

Now, we need to identify which option corresponds to 22d. None of the options directly match this value, but if we look at option (c) (d(3)(2)), we can multiply 3 and 2 to get 6. However, since 6 does not equal 22, option (c) is incorrect.

Upon reviewing each option, none provide the correct multiplication to result in 22d, suggesting there might have been an error in the question or the provided options. Therefore, based on the given options, the correct value of b cannot be identified.